2017 · Q76
Let P, Q, R be the mid-points of sides AB, BC, CA respectively of a triangle ABC. If the area of the triangle ABC is 5 square units, then the area of the triangle PQR is
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A5/3 square units
- B5/(2√(2)) square units
- C5/4 square units
- D1 square units
Explanation
The medial triangle is similar to ABC with linear ratio 1/2, so its area is (1/2)² × 5 = 5/4: option C.